UK Loan Conventions Supporting Slides - Bank of …
[Pages:22]Working Group on Sterling Risk-Free Rates Detailed Loans Conventions
Published in September 2020 - Updated in March 2021
Not for wider circulation
Contents
#
Agenda
1
SONIA Loans Market Conventions Overview
2
Recommended Convention - Lookback without Observation Shift1
3
Alternative Convention - Lookback with Observation Shift2
5
Lookback without Observation Shift1 vs with Observation Shift2
6
Floor Approach for Legacy Contracts
7
Cumulative vs Non Cumulative Rate and the Proposed Rounding Approach
Page No.
3-4 5-8 9-14 15-16 17-20 21-22
The overall objective of the Working Group on Sterling Risk-Free Reference Rates (the "Working Group") is to enable a broadbased transition to SONIA by the end of 2021 across the sterling bond, loan and derivative markets. This will reduce the financial stability risks arising from widespread reliance on GBP LIBOR.
The Bank of England and the Financial Conduct Authority ("FCA") are each ex-officio members of the Working Group. The views and outputs set out herein do not constitute guidance or legal advice from the Bank of England (including the Prudential Regulation Authority ("PRA")) or the FCA and are not necessarily endorsed by the Bank of England (including the PRA) or the FCA.
1 Lookback without Observation Shift is also known as the Observation Lag convention 2 Also known as `Interest Period Weighted Observation Shift'
SONIA Loans Market Conventions - Overview
Summary of the recommended SONIA Loan Market Conventions (To be read alongside the Working Group statement)
1. SONIA remains the Working Group's recommended alternative to Sterling LIBOR, implemented via a compounded in arrears methodology, and loan markets should now move consistently towards this.
2. Use of a Five Banking Days Lookback without Observation Shift is recommended as the standard approach by the Working Group. This aligns with the approach recommended by the Alternative Reference Rate Committee for US dollar loan markets and in the Working Group's view is most likely to be made rapidly available. Whilst this approach is the recommendation, where lenders are also able to offer lookback with an observation shift this remains a viable and robust alternative.
3. Where an interest rate floor is used, the Working Group recognises that it may be necessary to apply the floor to each daily interest rate before compounding.
4. Prepayments. The Working Group recommends that accrued interest should be paid at the time of principal prepayment.
SONIA Loan Market Conventions and Implementation Approaches
Loan Conventions
Implementation Approaches
Interest Methodology
Interest Calculation
Lookback/ Lag Days Rounding
Day Count
Recommended Convention
Compound in Arrears
Alternative Convention
Lookback without Lookback with Observation Shift1 Observation Shift2
5 Banking Days SONIA 4 DP Actual/ 365
Other variables as required
Recommended Other Considered
Approach
Approach
Notes
Compound the Rate
Compound the Balance
? Both calculate the same interest except for intra interest period event such as loan trading activity.
? Compound the rate aligns to the current pro-rata interest distribution.
Non Cumulative Rate Method 3
Cumulative Rate Method
? Though Cumulative and Non Cumulative Rate method should calculate the same interest amount where the rounding method is consistent, the Non Cumulative Rate method is preferred for loans as it better supports intra interest period event such as loan trading activity, to distribute interest to the lenders on a pro-rata basis (see page 22)
Round Cumulative Rate, do not round Non Cumulative rate
Do not round the Compounded rate
?
The recommended approach will ensure the calculation of interest amount using Cumulative and Non Cumulative rate is the same. (see page 22)
1 Also known as `Lag' 2 Also known as `Interest Period Weighted Observation Shift'
3 Preferred where rounding method is consistent to calculate the same interest amount as Cumulative Rate Method (see page 22)
SONIA Loans Market Conventions - Lookback with or without Observation Shift1
In the UK, the recommendation from the Working Group is for a 5 Banking Days Lookback without Observation Shift1. Whilst this approach is the recommendation, each of Lookback with or without Observation Shift has benefits and limitations and either approach may be considered appropriate for market participants. In the US, the ARRC has made a decision to adopt Lookback without Observation Shift1 where interest is calculated on compound in arrears basis. They also determined that the basis risk between the two methods was minimal.
Compounded in arrears ? Lookback without Observation Shift1 vs Lookback with Observation Shift 2
? Key differences between Lookback without Observation Shift (Lag methodology) and Lookback with Observation Shift
Compounded in arrears Rate
Interest Amount
Lookback without Observation Shift1
Lookback with Observation Shift2
? Compounded rate is calculated based on no. of calendar ? Compounded rate is calculated based on no. of calendar days in
days in an interest period i.e., applicable SONIA for each an observation period i.e., applicable SONIA for each day within
day within a loan period is weighted based on no. of a loan period is weighted based on no. of calendar days in the
calendar days in the interest period.
observation period.
? Interest is calculated for the total no. of calendar days in an ? Interest is calculated for the total no. of calendar days in an
interest period
interest period
Negative Accrual
? There would be no scenario where the daily accrual may be ? If SONIA were to reduce sharply around bank holidays (even if
negative.
SONIA is not negative) there could be negative accrual on
certain days. However, total interest for that interest period will
not be negative.
1 Also known as `Lag' 2 Also known as `Interest Period Weighted Observation Shift'
Recommended Convention Lookback without Observation Shift1
1 Also known as `Lag'
Not for wider circulation
Lookback without Observation Shift1 - Overview
Below is an illustration of 5 Banking Days Lookback rate fixing for a SONIA referencing loan.
Rate used (T-5)
Interest Payment amount known
Rate known/ published (T-4) T-5 T-4 T
Interest Payment date (IP)
T-5
IP
How does 5 banking days Lookback work?
Every day of the interest period, 5 banking days prior rate is used.
For example ? if a loan is drawn effective 05Feb-19 (Tue), the applicable rate will be the rate
for 29-Jan-19 (Tue) which is published on 30Jan-19 (Wed). The same process is repeated
throughout the interest/ loan period.
Rate for Published on
28-Jan Mon
29-Jan Tue
0.7054
29-Jan Tue
30-Jan Wed
0.7036
30-Jan Wed 31-Jan Thu
0.7034
31-Jan Thu
01-Feb Fri
0.7034
01-Feb Fri
04-Feb Mon
0.7025
02-Feb Sat
-
03-Feb Sun
-
04-Feb Mon
05-Feb Tue
0.7051
05-Feb Tue
06-Feb Wed
0.7048
06-Feb Wed
07-Feb Thu
0.7066
07-Feb Thu
08-Feb Fri
0.7065
Loan Period - 05-Feb-19 to 12-Feb-19
Observation Date
Start Date
End Date
Daily RFR
Tue,29-Jan-19 Tue,05-Feb-19 Wed,06-Feb-19 0.7036
Wed,30-Jan-19 Wed,06-Feb-19 Thu,07-Feb-19 0.7034
Thu,31-Jan-19 Thu,07-Feb-19 Fri,08-Feb-19 0.7034
Fri,01-Feb-19 Fri,08-Feb-19 Mon,11-Feb-19 0.7025
Mon,04-Feb-19 Mon,11-Feb-19 Tue,12-Feb-19 0.7051
Comment
Use rate for 29-Jan published on 30-Jan Use rate for 30-Jan published on 31-Jan Use rate for 31-Jan published on 1-Feb Use rate for 1-Feb published on 4-Feb Use rate for 4-Feb published on 5-Feb
1 Also known as `Lag'
Lookback without Observation Shift2 - Formula
The Non Cumulative Compounded Rate1 is the recommended implementation approach as it better supports intra period events such as trading activity. Non Cumulative Compounded Rate - Lookback without Observation Shift2 Cumulative Compounded Rate - Lookback without Observation Shift2
Compounded Rate calculation
SStteepp11: ()
=
=1
1
+
? N
-1
N ?
* should be rounded daily to x decimal places (as defined in the
credit agreement)
Compounded Rate calculation
Step 1 db ( db)
=
=1
1
+
? N
-1
N ?
* should be rounded to x decimal places (as defined in the agreement)
Step 2 ()
=
?
N
* should not be rounded
Step 3: ()
N = - -1BD ?
* should not be rounded
ACR (in Step1) is rounded but UCR (in Step 2) and NCR (in Step 3) are not rounded to ensure compounded rate rounding is not duplicated and the interest
amount using Cumulative or Non Cumulative Compounded rate is the same.
Interest amount calculation
Step 4:
=
? [+ + ] ? N
=1
* should be rounded to 2 decimal places at the end of the period only
1 Preferred where rounding method is consistent to calculate the same interest amount as Cumulative Rate Method (see page 22)
2 Also known as `Lag'
Interest amount calculation
Step 2 =
? [+ + ] ? N
* should be rounded to 2 decimal places
Where
db = the number of Banking Days in the Interest Period
ri
= the interest rate applicable on Banking Day i in the Observation Period, as
published on the Banking Day immediately after Banking Day i
ni
= the number of calendar days for which ri applies in the relevant Interest Period,
(on most days, ni will be 1, but on a Friday it will generally be 3, and it will also
be larger than 1 on the Banking Day before a holiday).
tni = total number of ni as of the relevant Banking Day within the Interest Period.
N = market convention for quoting the number of days in the year.
BD = Banking Day for the specific currency only
i CAS
= series of whole numbers from one to db, each representing the relevant Banking Day in chronological order from, and including, the first Banking Day in the relevant Interest Period
= Credit Adjustment Spread (if applicable)
Lookback without Observation Shift1 - Worked example
Though the Cumulative and Non Cumulative Compounded Rate are different implementation approaches, if the same rounding conventions are used in both the methods, the interest amount will be identical. As illustrated below there is no difference in interest amount using Cumulative and Non Cumulative Compounded Rate
Lookback/Lag Days
5
Year Basis (N)
365
Margin Credit Adjustment
Spread
Loan Period - 15-Apr-19 to 15-May-19
2.00% 0.05%
Rounding Convention (Recommended)
No Rounding 16 dp or more
No Rounding 16 dp or more
As per Agreement 4 dp
Step 1: ACRi
No Rounding 16 dp or more Step 2: UCRi
No Rounding 16 dp or more Step 3: NCRi
No Rounding No Rounding No Rounding 16 dp or more 16 dp or more 16 dp or more 2 dp (at the end)
Step 4: Interest
Breaking down the Formula
ni
tni
ri
(N = 365)
Step 1: ACSi
Step 4: Interest
Observation Date (T-5)
Start Date (T)
No. calendar Cumulative
days in
Interest
Interest Period Period Days
Mon,08-Apr-19 Mon,15-Apr-19
1
1
Tue,09-Apr-19 Tue,16-Apr-19
1
2
Wed,10-Apr-19 Wed,17-Apr-19
1
3
Thu,11-Apr-19 Thu,18-Apr-19
5
8
Fri,12-Apr-19 Tue,23-Apr-19
1
9
Mon,15-Apr-19 Wed,24-Apr-19
1
10
Tue,16-Apr-19 Thu,25-Apr-19
1
11
Wed,17-Apr-19 Fri,26-Apr-19
3
14
Thu,18-Apr-19 Mon,29-Apr-19
1
15
Tue,23-Apr-19 Tue,30-Apr-19
1
16
Wed,24-Apr-19 Wed,01-May-19
1
17
Thu,25-Apr-19 Thu,02-May-19
1
18
Fri,26-Apr-19 Fri,03-May-19
4
22
Mon,29-Apr-19 Tue,07-May-19
1
23
Tue,30-Apr-19 Wed,08-May-19
1
24
Wed,01-May-19 Thu,09-May-19
1
25
Thu,02-May-19 Fri,10-May-19
3
28
Fri,03-May-19 Mon,13-May-19
1
29
Tue,07-May-19 Tue,14-May-19
1
30
Daily RFR (SONIA)
Unannualised/ Effective RFR
Compounding Factor
Annualised Cumulative Compounded RFRi
(ACRi)
Unannualised Cumulative
Non Cumulative
Compounded RFRi (UCRi)
Compounded RFRi (NCRi)
Principal
RFR Interest using Non Cumulative Compounded
Rate
Credit Adjustment
Spread Interest
0.70790% 0.0000193945205 1.0000193945206
0.707900% 0.0000193945205 0.7079000000% 100,000,000
1,939.45
136.99
0.70720% 0.0000193753425 1.0000387702388
0.707600% 0.0000387726027 0.7073000000% 100,000,000
1,937.81
136.99
0.70810% 0.0000194000000 1.0000581709909
0.707700% 0.0000581671233 0.7079000000% 100,000,000
1,939.45
136.99
0.70750% 0.0000969178082 1.0001550944370
0.707600% 0.0001550904110 0.7075400000% 100,000,000
9,692.33
684.93
0.70740% 0.0000193808219 1.0001744782647
0.707600% 0.0001744767123 0.7076000000% 100,000,000
1,938.63
136.99
0.70820% 0.0000194027397 1.0001938843898
0.707700% 0.0001938904110 0.7086000000% 100,000,000
1,941.37
136.99
0.70810% 0.0000194000000 1.0002132881512
0.707700% 0.0002132794521 0.7077000000% 100,000,000
1,938.90
136.99
0.70840% 0.0000582246575 1.0002715252273
0.707900% 0.0002715232877 0.7086333333% 100,000,000
5,824.38
410.96
0.70870% 0.0000194164384 1.0002909469377
0.708000% 0.0002909589041 0.7094000000% 100,000,000
1,943.56
136.99
0.70920% 0.0000194301370 1.0003103827279
0.708100% 0.0003104000000 0.7096000000% 90,000,000
1,749.70
123.29
0.70870% 0.0000194164384 1.0003298051928
0.708100% 0.0003298000000 0.7081000000% 90,000,000
1,746.00
123.29
0.70960% 0.0000194410959 1.0003492527004
0.708200% 0.0003492493151 0.7099000000% 90,000,000
1,750.44
123.29
0.71070% 0.0000778849315 1.0004271648335
0.708700% 0.0004271616438 0.7109500000% 90,000,000
7,012.11
493.15
0.70970% 0.0000194438356 1.0004466169748
0.708800% 0.0004466410959 0.7110000000% 90,000,000
1,753.15
123.29
0.71090% 0.0000194767123 1.0004661023857
0.708900% 0.0004661260274 0.7112000000% 90,000,000
1,753.64
123.29
0.71030% 0.0000194602740 1.0004855717302
0.708900% 0.0004855479452 0.7089000000% 90,000,000
1,747.97
123.29
0.71070% 0.0000584136986 1.0005440137929
0.709200% 0.0005440438356 0.7117000000% 90,000,000
5,264.63
369.86
0.70980% 0.0000194465753 1.0005634709474
0.709200% 0.0005634739726 0.7092000000% 90,000,000
1,748.71
123.29
0.70940% 0.0000194356164 1.0005829175153
0.709200% 0.0005829041096 0.7092000000% 90,000,000
1,748.71
123.29
Margin Interest
5,479.45 5,479.45 5,479.45 27,397.26 5,479.45 5,479.45 5,479.45 16,438.36 5,479.45 4,931.51 4,931.51 4,931.51 19,726.03 4,931.51 4,931.51 4,931.51 14,794.52 4,931.51 4,931.51
30
55,370.96 3,904.11 156,164.38
Total Interest
7,555.89 7,554.25 7,555.89 37,774.52 7,555.07 7,557.81 7,555.34 22,673.70 7,560.00 6,804.49 6,800.79 6,805.23 27,231.29 6,807.95 6,808.44 6,802.77 20,429.01 6,803.51 6,803.51
215,439.45
1 Also known as `Lag'
Cumulative Rate Method Cumulative Rate vs Non Cumulative Rate Method
55,370.96 0.00
3,904.11 156,164.38 215,439.45
0.00
0.00
0.00
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